A NOTE ON THE FOURIER TRANSFORM OF p-ADIC q-INTEGRALS
نویسنده
چکیده
The p-adic q-integral (= Iq-integral) was defined by author in the previous paper [1, 3]. In this paper, we consider Iq-Fourier transform and investigate some properties which are related to this transform. §
منابع مشابه
p-adic Shearlets
The field $Q_{p}$ of $p$-adic numbers is defined as the completion of the field of the rational numbers $Q$ with respect to the $p$-adic norm $|.|_{p}$. In this paper, we study the continuous and discrete $p-$adic shearlet systems on $L^{2}(Q_{p}^{2})$. We also suggest discrete $p-$adic shearlet frames. Several examples are provided.
متن کاملHigher Order Degenerate Hermite-Bernoulli Polynomials Arising from $p$-Adic Integrals on $mathbb{Z}_p$
Our principal interest in this paper is to study higher order degenerate Hermite-Bernoulli polynomials arising from multivariate $p$-adic invariant integrals on $mathbb{Z}_p$. We give interesting identities and properties of these polynomials that are derived using the generating functions and $p$-adic integral equations. Several familiar and new results are shown to follow as special cases. So...
متن کاملConstructible exponential functions, motivic Fourier transform and transfer principle
We introduce spaces of exponential constructible functions in the motivic setting for which we construct direct image functors in the absolute and relative settings. This allows us to define a motivic Fourier transformation for which we get various inversion statements. We also define spaces of motivic Schwartz-Bruhat functions on which motivic Fourier transformation induces isomorphisms. Our m...
متن کاملBOUNDS FOR FOURIER TRANSFORMS OF REGULAR ORBITAL INTEGRALS ON p-ADIC LIE ALGEBRAS
Let G be a connected reductive p-adic group and let g be its Lie algebra. LetO be a G-orbit in g. Then the orbital integral μO corresponding to O is an invariant distribution on g, and Harish-Chandra proved that its Fourier transform μ̂O is a locally constant function on the set g′ of regular semisimple elements of g. Furthermore, he showed that a normalized version of the Fourier transform is l...
متن کاملAn Example of Fourier Transforms of Orbital Integrals and their Endoscopic Transfer
For the Lie algebra sl over a p adic eld the Fourier transform of a regular orbital integral is expressed as an integral over all regular orbital integrals with explicit coe cients This expression unlike the Shalika germ expansion is not restricted to orbits of small elements The result gives quite an elementary access to a simple example of Waldspurger s recent theorem on endoscopic transfer o...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2005